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Finding the Fourth Proportional to 361,806.98, 499,260.12 and 200,659.10

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Solution

The fourth proportional to 361,806.98, 499,260.12 and 200,659.10 is: 276,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,806.98 : 499,260.12 = 200,659.10 : x
  2. Step 2: Convert to fraction form
    361,806.98/499,260.12 = 200,659.10/x
  3. Step 3: Cross multiply
    361,806.98x = 499,260.12 × 200,659.10
  4. Step 4: Simplify right side
    361,806.98x = 100,181,086,345.09
  5. Step 5: Solve for x
    x = 100,181,086,345.09/361,806.98
  6. Step 6: Final answer
    x = 276,890.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.